On the $BMO$ and $C^{1,\gamma}$-regularity for a weak solution of fully nonlinear elliptic systems in dimension three and four
We consider nonlinear elliptic system of type \begin{equation*} -D_{\alpha}A_{i}^{\alpha}(x,Du)=D_{\alpha}f_{i}^{\alpha} \end{equation*} and give conditions guaranteeing $C^{1,\gamma}$ interior regularity of weak solutions.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2021-04-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8770 |
| Summary: | We consider nonlinear elliptic system of type
\begin{equation*}
-D_{\alpha}A_{i}^{\alpha}(x,Du)=D_{\alpha}f_{i}^{\alpha}
\end{equation*}
and give conditions guaranteeing $C^{1,\gamma}$ interior regularity of weak solutions. |
|---|---|
| ISSN: | 1417-3875 |